Question

Two angles of a triangle are in the ratio 2:4 and its third angle is 60°. Find the other two
angles of the triangle.
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Answer 1

Answer:

Please see the above attachment for your answer.

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Answer 2

Answer:

40⁰and 80⁰

Step-by-step explanation:

As the two angles are in ratio 2:4,

Let us consider,

2x and 4x as the two angles

we know that, the sum of all the three angles in a triangle is 180⁰.

I.e; <x+<y+<z=180⁰

so, 2x +4x + 60⁰= 180⁰

6x +60⁰= 180⁰

6x=180⁰-60⁰

6x=120⁰

x=120⁰/60⁰

x=20⁰

substituting the value of x...we get;

2x=2×20=40⁰

and, 4x=4×20=80⁰

Hence, the three angles of the triangle are 40⁰, 60⁰ and 80⁰.